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Relation between the correspondence chromatic number and the Alon--Tarsi number (2206.11964v1)
Published 23 Jun 2022 in math.CO
Abstract: We study the relation between the correspondence chromatic number and the Alon--Tarsi number, both upper bounds on the list chromatic number of a graph. There are many graphs with Alon--Tarsi number greater than the correspondence chromatic number. We present here a family of graphs with arbitrary Alon--Tarsi number, with correspondence chromatic number one larger. Keywords: correspondence coloring, Alon--Tarsi number AMS Mathematics Subject Classification: 05C15